4400 Higher November 2010 Paper 3 Q7
7 \(\mathscr{E} = \{\text{Clothes}\}\)
\(A = \{\text{Mr Smith’s clothes}\}\)
\(B = \{\text{Hats}\}\)
\(C = \{\text{Mrs Koshi’s hats}\}\)
(a)
(i) Describe the members of the set \(A \cap B\)
(ii) How many members has the set \(A \cap C\)? (2)
(b)
Use a letter or symbol from the box to make each of the following a true statement.
| \(A\) | \(B\) | \(C\) | \(\mathscr{E}\) | \(\in\) | \(\varnothing\) | \(\cap\) | \(\cup\) |
(i) \(B \cup C =\) ..........
(ii) Mr Smith’s favourite shirt .......... \(A\) (2)
| Scheme | Marks |
|---|---|
| (i) Answer: Mr Smith’s hats | B1 |
| (ii) Answer: 0 | B1 |
| (2) |
Notes
B1: none or zero, \(\varnothing\) or { }, “empty set” etc;
allow “There aren’t any”
| Scheme | Marks |
|---|---|
| (i) Answer: \(B\) | B1 |
| (ii) Answer: \(\in\) | B1 |
| (2) | |
| (4 marks) |